Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	202×	body	80	valid
4.0ms	31×	body	640	valid
3.0ms	16×	body	1280	valid
1.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	27	9
3	78	9
4	257	9
5	808	9
6	4418	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.6b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

51.0ms	(* (- 1.0 x) (- 1.0 y))
9.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- 1.0 x) (- 1.0 y))
42.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify944.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	101	691
1	285	649
2	1249	617
done	5002	617

prune134.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) 1.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+ (* x y) 1.0)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ (* x y) 1.0)

simplify1.7s

Counts

14 → 14

Iterations

Useful iterations: 3 (157.0ms)

Iter	Nodes	Cost
0	26	124
1	81	121
2	233	111
3	677	109
4	2031	109
done	5001	109

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) 1.0)
0.0b	(- (* (* x y) (* x y)) (* 1.0 1.0))
0.3b	(* (* x y) (* x y))
11.4b	(/ (- (* (* x y) (* x y)) (* 1.0 1.0)) (- (* x y) 1.0))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

16.0ms	(- (* x y) 1.0)
50.0ms	(- (* (* x y) (* x y)) (* 1.0 1.0))
40.0ms	(* (* x y) (* x y))
114.0ms	(/ (- (* (* x y) (* x y)) (* 1.0 1.0)) (- (* x y) 1.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x y) 1.0)
69.0ms	(- (* (* x y) (* x y)) (* 1.0 1.0))
57.0ms	(* (* x y) (* x y))
109.0ms	(/ (- (* (* x y) (* x y)) (* 1.0 1.0)) (- (* x y) 1.0))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	129	1666
1	357	1495
2	1947	1193
done	5002	1191

prune223.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) 1.0)
0.0b	(- (* (* x x) (* y y)) (* 1.0 1.0))
11.4b	(/ (- (* (* x x) (* y y)) (* 1.0 1.0)) (- (* x y) 1.0))
18.6b	(* (* x x) (* y y))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
14×	`pow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`flip3--` `pow-plus` `pow-prod-up` `flip--`
3×	`associate-/r` `associate-/l`
2×	`pow2` `sub-neg` `diff-log` `associate-/r/` `pow-sqr` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (* x y) 1.0)
35.0ms	(- (* (* x x) (* y y)) (* 1.0 1.0))
98.0ms	(/ (- (* (* x x) (* y y)) (* 1.0 1.0)) (- (* x y) 1.0))
47.0ms	(* (* x x) (* y y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* x y) 1.0)
72.0ms	(- (* (* x x) (* y y)) (* 1.0 1.0))
101.0ms	(/ (- (* (* x x) (* y y)) (* 1.0 1.0)) (- (* x y) 1.0))
51.0ms	(* (* x x) (* y y))

simplify1.9s

Counts

97 → 97

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	129	1560
1	395	1529
2	2517	1320
done	5000	1186

prune262.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample965.0ms

Algorithm

intervals

Results

354.0ms	6944×	body	80	valid
102.0ms	832×	body	640	valid
101.0ms	439×	body	1280	valid
82.0ms	595×	body	320	valid
22.0ms	349×	body	160	valid